An Introduction to the theory of statistics

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Monograph

Identifikator:: 1751730271

URN:: urn:nbn:de:zbw-retromon-127610

Document type:: Monograph

Author:: Yule, George Udny http://d-nb.info/gnd/12910504X

Title:: An Introduction to the theory of statistics

Edition:: 8. ed. rev

Place of publication:: London

Publisher:: Griffin

Year of publication:: 1927

Scope:: XV, 422 S; Ill., Diagr

Digitisation:: 2021

Collection:: Economics Books

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Document type:: Monograph

Structure type:: Chapter

Title:: Part II. The theory of variables

Collection:: Economics Books

VIIL—MEASURES OF DISPERSION, ETC. 153 arrange them in order of merit as regards this character: if the boys are then “numbered up” in order, the number of each boy, or his rank, serves as some sort of index to his capacity (cf. the remarks in § 12. It should be noted that rank in this sense is not quite the same as grade; if a boy is tenth, say, from the bottom in a class of a hundred his grade is 9:5, but the method is in principle the same with that of grades or percentiles). The method of ranks, grades, or percentiles in such a case may be a very serviceable auxiliary, though, of course, it is better if possible to obtain a numerical measure. But if, in the case of a measurable character, the percentiles are used not merely as 20 29 40 50 £0 Ld 2 4 3. ; v 3649 — 2 ~ “ep .. 2 60- — 60 v vo <9 30 40 50 60 70 80 90 100 Stature corres onding to 7 Por adele males in the Britian reer. F16. 28. —Ogive Curve for Stature, same data as Fig. 6, p. 89. constants illustrative of certain aspects of the frequency-distribu- tion, but entirely to replace the table giving the frequency- distribution, serious inconvenience may be caused, as the application of other methods to the data is barred. Given the table showing the frequency-distribution, the reader can calculate not only the percentiles, but any form of average or measure of dispersion that has yet been proposed, to a sufficiently high degree of approximation. But given only the percentiles, or at least so few of them as the nine deciles, he cannot pass back to the frequency-distribution, and thence to other constants, with any degree of accuracy. In all cases of published work, therefore, the figures of the frequency-distribution should be given ; they are absolutely fundamental.

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